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Finding the Fourth Proportional to 13,469, 20,154.10 and 11,242.32

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Solution

The fourth proportional to 13,469, 20,154.10 and 11,242.32 is: 16,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469 : 20,154.10 = 11,242.32 : x
  2. Step 2: Convert to fraction form
    13,469/20,154.10 = 11,242.32/x
  3. Step 3: Cross multiply
    13,469x = 20,154.10 × 11,242.32
  4. Step 4: Simplify right side
    13,469x = 226,578,841.51
  5. Step 5: Solve for x
    x = 226,578,841.51/13,469
  6. Step 6: Final answer
    x = 16,822.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.